Tetrahedron: meaning, definitions and examples
๐บ
tetrahedron
[ หtษtrษหhษnษd ]
geometric shape
A tetrahedron is a three-dimensional geometric shape that consists of four triangular faces, six straight edges, and four vertex corners. It is one of the simplest forms of polyhedra and represents a type of pyramid with a triangular base. In mathematics and geometry, tetrahedrons can be studied for their properties, including volume and surface area. The regular tetrahedron is particularly notable because all its faces are equilateral triangles, making it a keystone shape in various areas of science and engineering.
Synonyms
4-faced polyhedron, pyramid, triangular pyramid.
Examples of usage
- The tetrahedron is used in crystal structures.
- A model of a tetrahedron can be made from straws.
- In chemistry, a tetrahedral molecular geometry is present in methane.
- Artists often use tetrahedrons in sculpture design.
Translations
Translations of the word "tetrahedron" in other languages:
๐ต๐น tetraedro
๐ฎ๐ณ เคเคคเฅเคฐเฅเคญเฅเค
๐ฉ๐ช Tetraeder
๐ฎ๐ฉ tetrahedron
๐บ๐ฆ ัะตััะฐะตะดั
๐ต๐ฑ tetraedr
๐ฏ๐ต ๅ้ขไฝ
๐ซ๐ท tรฉtraรจdre
๐ช๐ธ tetraedro
๐น๐ท tetrahedron
๐ฐ๐ท ์ฌ๋ฉด์ฒด
๐ธ๐ฆ ู ูุนุจ ุฑุจุงุนู
๐จ๐ฟ tetrahedron
๐ธ๐ฐ tetrahedron
๐จ๐ณ ๅ้ขไฝ
๐ธ๐ฎ tetraeder
๐ฎ๐ธ tetrahedron
๐ฐ๐ฟ ัะตััะฐัะดั
๐ฌ๐ช แขแแขแ แแฐแแแ แแแ
๐ฆ๐ฟ tetrahedron
๐ฒ๐ฝ tetraedro
Etymology
The word 'tetrahedron' comes from the Greek words 'tetra', meaning 'four', and 'hedron', which refers to a face or a seat. Its origin can be traced back to ancient geometric studies where shapes were categorized based on the number of their sides and faces. The Greek mathematician Euclid included the tetrahedron in his work 'Elements', where he outlined the properties of solids. The concept of the tetrahedron has been used in various fields since ancient times, including in architecture, art, and later, in modern chemistry and molecular biology. The study of polyhedra, including the tetrahedron, was further developed during the Renaissance, influencing artists and architects who incorporated geometric principles into their works.